Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (3): 307-313.

• Articles • Previous Articles    

PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE

Xiao Jianzhong1, Jiang Xingguo2   

  1. 1. Jiangsu Yancheng Educational Institute, Yancheng 224002, P. R. China;
    2. Agricultural College of Yangzhou University, Yangzhou 225009, P. R. China
  • Received:1995-03-24 Revised:1996-10-20 Online:1997-03-18 Published:1997-03-18

Abstract: In this paper, the new definition of probabilistic norm of linear operators on a PN space is giren. In virtue of this, the boundedness of linear operators is described and the completeness of the PN space composed of all bounded linear operators is showed.

Key words: PN space, operator, probability, norm

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